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Construction and Stationary Distribution of the Fleming-Viot Process with Viability Selection

Author

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  • Stephen G. Walker

    ()

  • Matteo Ruggiero

    ()

Abstract

This paper provides an explicit construction of the Fleming-Viot process with viability selection in a Bayesian nonparametric framework, and derives its stationary distribution. The measure-valued diffusion is obtained as the infinite population limit of the empirical measures of a semi-Markov process of exchangeable particles. In the limit the stationary distribution is shown to be the two-parameter Poisson-Dirichlet process, also known as the Pitman-Yor process.

Suggested Citation

  • Stephen G. Walker & Matteo Ruggiero, 2007. "Construction and Stationary Distribution of the Fleming-Viot Process with Viability Selection," ICER Working Papers - Applied Mathematics Series 14-2007, ICER - International Centre for Economic Research.
  • Handle: RePEc:icr:wpmath:14-2007
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    File URL: http://www.biblioecon.unito.it/biblioservizi/RePEc/icr/wp2007/ICERwp14-07.pdf
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    Cited by:

    1. Stefano Favaro & Matteo Ruggiero & Dario Spanò & Stephen G. Walker, 2007. "The Neutral Population Model and Bayesian Nonparametrics," ICER Working Papers - Applied Mathematics Series 18-2007, ICER - International Centre for Economic Research.

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